A method for the evaluation of the stress intensity factors for cracks originating from notches

We propose a new method for the approximate description of the crack opening displacement caused by the action of two symmetric forces applied to the opposite faces of a crack originating from a concentrator. The solution is sought in the form of a sum of asymptotic and correction terms. The asymptotic term is obtained by applying the operation of inversion to the well-known solution for a half plane with edge crack. The correction term contains unknown coefficients and is negligibly small as compared with the first term if either the point of application of a force or a current point of the crack surface is located near the crack tip. It is shown that the realization of this method reduces to several arithmetic procudures. The high accuracy of the proposed method is demonstrated by analyzing various examples.